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A055556 Differences of arithmetic progressions of which the terms give chains of n consecutive non-squarefree numbers if started with terms of A045882(n) or A051681(n). 0

%I

%S 4,72,58800,1757711340,54169994838960,950645196424756293060600,

%T 94630125612279498512066506747436400,

%U 14119054639791549212725337736060964803166626000

%N Differences of arithmetic progressions of which the terms give chains of n consecutive non-squarefree numbers if started with terms of A045882(n) or A051681(n).

%D Filaseta, M. and Trifonov, O. (1990): On Gaps between Squarefree Numbers. In Analytic Number Theory, Birkhauser, Basel, pp. 235-253.

%D Fogels, E. (1941): On the average values of arithmetic functions. Proc. Cambridge Philos. Soc. 37: 358-372.

%D Roth, K. F. (1951): On the gaps between squarefree numbers. J. London Math. Soc. (2) 26:263-268.

%F a(n)=LCM[x, x+1, .., x+n-1], where x=A045882(n)

%e For n=5 the difference of the relevant progression is 54169994838960 and

%Y A013929, A051681, A045882, A005117, A053797, A005117, A053806.

%K nonn

%O 1,1

%A Labos E. (labos(AT)ana.sote.hu), Jul 10 2000

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Last modified May 18 07:10 EDT 2013. Contains 225419 sequences.